
Skill 
Notes 
Videos 
Practice 

Preparing for a Math Test 




Taking a Math Test 




ALGEBRAIC EXPRESSIONS




IA1 
Removing Nested Symbols of Grouping 



IA2 
Revisiting Rules of Integer Exponents




IA3 
Using Scientific Notation 



IA4 
Multiplying “Long” Expressions Using Special Products for Binomials 



IA5 
Expanding Binomials (Pascal’s Triangle) 



IA6 
Performing Long Division on Polynomials with Rearranged and/or Missing Terms 




POLYNOMIAL FACTORING




IA7 
Factoring out the Greatest Common Factor 



IA8 
Factoring by Grouping I 



IA9 
Factoring Quadratic Trinomials 



IA10 
Recognizing Special Binomial Forms 



IA11 
Factoring the Difference of Squares 



IA12 
Factoring the Sum/Difference of Cubes




IA13 
Factoring by Grouping II 



IA14 
Factoring Strategy 



IA15 
Factoring Using Combined Techniques




IA16 
Factoring by Substitution 




RATIONAL EXPRESSIONS




IA17 
Simplifying Rational Expressions 



IA18 
Multiplying Rational Expressions 



IA19 
Dividing Rational Expressions 



IA20 
Adding/Subtracting Rational Expressions




IA21 
Performing Combined Operations on Rational Expressions 



IA22 
Simplifying Complex Fractions Involving Rational Expressions 



IA23 
Simplifying “Rational” Expressions Involving Zero and/or Negative Exponents





RADICAL EXPRESSIONS (INDEX >=2)




IA24 
Finding Cube Roots of Numbers 



IA25 
Simplifying Radical Expressions 



IA26 
Adding/Subtracting Radical Expressions 



IA27 
Multiplying Radical Expressions 



IA28 
Dividing Radical Expressions 



IA29 
Rationalizing the Denominator (Index 2) 



IA30 
Rationalizing the Denominator (Index >=3) 




RATIONAL EXPONENTS




IA31 
Writing Expressions Involving Rational Exponents in Radical Form 



IA32 
Writing Radical Expressions Using Rational Exponents 



IA33 
Evaluating Expressions Involving Rational Exponents




IA34 
Simplifying Expressions Involving Rational Exponents
Multiplying and Dividing Radicals with Different Indices
Reducing the Index





COMPLEX NUMBERS




IA35 
Introduction to Complex Numbers; Graph 



IA36 
Adding/Subtracting Complex Numbers 



IA37 
Multiplying Complex Numbers




IA38 
Dividing Complex Numbers 



IA39 
Evaluating Powers of i 




SOLVING EQUATIONS IN ONE VARIABLE




IA40 
Solving Linear Equations Involving Nested Symbols of Grouping 



IA41 
Solving Linear Equations Involving Fractions 



IA42 
Solving Linear Equations Involving Decimals




IA43 
Solving Absolute Value Equations




IA44 
Solving Quadratic/Quadratic Form Equations




IA45 
Solving Polynomial Equations 



IA46 
Solving Rational Equations 



IA47 
Solving Radical Equations 



IA48 
Solving Literal Equations 




SOLVING LINEAR INEQUALITIES IN ONE VARIABLE




IA49 
Writing Solution Sets, Graphs, Interval Notation 



IA50 
Solving Simple Linear Inequalities




IA51 
Solving Compound Linear Inequalities 




SOLVING NONLINEAR INEQUALITIES IN ONE VARIABLE




IA52 
Solving Quadratic Inequalities 



IA53 
Solving Polynomial Inequalities




IA54 
Solving Rational Inequalities 



IA55 
Solving Absolute Value Inequalities 




ANALYTIC GEOMETRY: LINES (REVIEW)




IA56 
Graphing Lines 



IA57 
Identifying Parallel and Perpendicular Lines 



IA58 
Writing Equations of Lines 




ANALYTIC GEOMETRY: CIRCLES




IA59 
Finding the Distance Between Two Points 



IA60 
Finding the Midpoint of a Line Segment Connecting Two Points 



IA61 
Graphing Circles 



IA62 
Writing Equations of Circles 




ANALYTIC GEOMETRY: PARABOLAS




IA63 
Graphing Parabolas Given the Equation in Vertex Form 



IA64 
Finding the Vertex of a Parabola




IA65 
Graphing Parabolas Given the General Equation 



IA66 
Graphing Sideways or Horizontal Parabolas 




ANALYTIC GEOMETRY: ELLIPSES




IA67 
Graphing Ellipses Given the Standard Equation 



IA68 
Graphing Ellipses Given the General Equation 




ANALYTIC GEOMETRY: HYPERBOLAS




IA69 
Graphing Hyperbolas Given the Standard Equation 



IA70 
Graphing Hyperbolas Given the General Equation 




ANALYTIC GEOMETRY: IDENTIFYING CONIC SECTIONS




IA71 
Classifying Conic Sections Given the Standard Equation 



IA72 
Classifying Conic Sections Given the General Equation 




SOLVING SYSTEMS OF EQUATIONS:
2 X 2 LINEAR




IA73 
Solving by Graphing 



IA74 
Solving by Substitution 



IA75 
Solving by Addition 



IA76 
Solving by Gaussian Elimination 



IA77 
Recognizing Inconsistent and Dependent Systems 




SOLVING SYSTEMS OF EQUATIONS:
3 X 3 LINEAR




IA78 
Solving by Addition 



IA79 
Solving a 3 x 3 System with Missing Variables 



IA80 
Solving by Gaussian Elimination/ GaussJordan Reduction 



IA81 
Solving by Pivoting 




SOLVING 2 X 2 NONLINEAR SYSTEMS




IA82 
Solving a System of One Linear and One Quadratic Equation 



IA83 
Solving a Quadratic System 



IA84 
Solving Other Nonlinear Systems 




SETTING UP AND SOLVING WORD PROBLEMS




IA85 
Setting up Number Problems 



IA86 
Setting up Geometry Problems




IA87 
Setting up Mixture Problems 



IA88 
Setting up Motion Problems 



IA89 
Setting up Work Problems 




FUNCTIONS




IA90 
Identifying Functions and Relations 



IA91 
Finding the Domain and the Range 



IA92 
Understanding Function Notation 



IA93 
Finding the Domain Given the Equation 



IA94 
Sketching Graphs of Basic Functions 



IA95 
Sketching Graphs Involving Horizontal Translations 



IA96 
Sketching Graphs Involving Vertical Translations 



IA97 
Sketching Graphs Involving Stretching 



IA98 
Sketching Graphs Involving Shrinking 



IA99 
Sketching Graphs Involving Combined Transformations 



IA100 
Performing Operations on Functions 



IA101 
Solving Variation Problems 




INVERSE FUNCTIONS




IA102 
Determining the Existence of the Inverse 



IA103 
Finding the Inverse of a Function 



IA104 
Graphing a Function and its Inverse 



IA105 
Finding the Domain and Range of a Function and its Inverse 




EXPONENTIAL AND LOGARITHMIC FUNCTIONS




IA106 
Graphing the Basic Exponential Function 



IA107 
Finding the Domain and the Range of the Exponential Function Based on the Graph 



IA108 
Solving Exponential Equations; Bases Related 



IA109 
Graphing Transformations of the Basic Exponential Function 



IA110 
Evaluating Logarithms 



IA111 
Graphing the Logarithmic Function 



IA112 
Applying Properties of Logarithms 



IA113 
Expanding Logarithmic Expressions 



IA114 
Compressing Logarithmic Expressions 



IA115 
Solving Logarithmic Equations 



IA116 
Solving Compound Interest Problems 



IA117 
Solving Growth and Decay Problems 




SEQUENCES AND SERIES




IA118 
Finding the Sum of the First n Terms of an Arithmetic Series 



IA119 
Finding the Sum of the First n Terms of a Geometric Series 


